English

Stanley-Reisner ideals whose powers have finite length cohomologies

Commutative Algebra 2013-08-21 v1 Combinatorics

Abstract

We introduce a class of Stanley-Reisner ideals called generalized complete intersection, which is characterized by the property that all the residue class rings of powers of the ideal have FLC. We also give a combinatorial characterization of such ideals.

Keywords

Cite

@article{arxiv.math/0601245,
  title  = {Stanley-Reisner ideals whose powers have finite length cohomologies},
  author = {Shiro Goto and Yukihide Takayama},
  journal= {arXiv preprint arXiv:math/0601245},
  year   = {2013}
}
R2 v1 2026-07-22T17:29:49.928Z